4245577728 has 448 divisors, whose sum is σ = 14343644160. Its totient is φ = 1089994752.

The previous prime is 4245577717. The next prime is 4245577729. The reversal of 4245577728 is 8277755424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4245577729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114745326 + ... + 114745362.

Almost surely, 2^4245577728 is an apocalyptic number.

4245577728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4245577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171822080).

4245577728 is an abundant number, since it is smaller than the sum of its proper divisors (10098066432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4245577728 is a wasteful number, since it uses less digits than its factorization.

4245577728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its digits is 4390400, while the sum is 51.

The square root of 4245577728 is about 65158.0979464564. The cubic root of 4245577728 is about 1619.2438843059.

The spelling of 4245577728 in words is "four billion, two hundred forty-five million, five hundred seventy-seven thousand, seven hundred twenty-eight".